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Finding the Fourth Proportional to 85,927.70, 128,782.20 and 41,458.70

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Solution

The fourth proportional to 85,927.70, 128,782.20 and 41,458.70 is: 62,135.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,927.70 : 128,782.20 = 41,458.70 : x
  2. Step 2: Convert to fraction form
    85,927.70/128,782.20 = 41,458.70/x
  3. Step 3: Cross multiply
    85,927.70x = 128,782.20 × 41,458.70
  4. Step 4: Simplify right side
    85,927.70x = 5,339,142,595.14
  5. Step 5: Solve for x
    x = 5,339,142,595.14/85,927.70
  6. Step 6: Final answer
    x = 62,135.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.